Three-dimensional imaging from single-element holographic data

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dc.contributor.author Moscoso Castro, Miguel Ángel
dc.contributor.author Novikov, Alexei
dc.contributor.author Papanicolaou, George
dc.contributor.author Tsogka, Chrysoula
dc.date.accessioned 2021-04-29T11:01:47Z
dc.date.issued 2021-02-01
dc.identifier.bibliographicCitation Moscoso, M., Novikov, A., Papanicolaou, G. & Tsogka, C. (2021). Three-dimensional imaging from single-element holographic data. Journal of the Optical Society of America A, 38(2), A1-A6.
dc.identifier.issn 1084-7529
dc.identifier.uri http://hdl.handle.net/10016/32511
dc.description.abstract We present a holographic imaging approach for the case in which a single source-detector pair is used to scan a sample. The source-detector pair collects intensity-only data at different frequencies and positions. By using an appropriate illumination strategy, we recover field cross correlations over different frequencies for each scan location. The problem is that these field cross correlations are asynchronized, so they have to be aligned first in order to image coherently. This is the main result of the paper: a simple algorithm to synchronize field cross correlations at different locations. Thus, one can recover full field data up to a global phase that is common to all scan locations. The recovered data are, then, coherent over space and frequency so they can be used to form high-resolution three-dimensional images. Imaging with intensity-only data is therefore as good as coherent imaging with full data. In addition, we use an ℓ1-norm minimization algorithm that promotes the low dimensional structure of the images, allowing for deep high-resolution imaging.
dc.description.sponsorship The work of MM was partially supported by spanish grant MICINN FIS2016-77892-R. The work of AN was partially supported by NSF DMS-1813943 and AFOSR FA9550-20-1-0026. The work of G. Papanicolaou was partially supported by AFOSR FA9550-18-1-0519. The work of C. Tsogka was partially supported by AFOSR FA9550-17-1-0238 and FA9550-18-1-0519.
dc.format.extent 6
dc.language.iso eng
dc.publisher Optical Society of America (OSA)
dc.rights © 2020 Optical Society of America.
dc.subject.other Computational imaging
dc.subject.other Fourier transforms
dc.subject.other Imaging techniques
dc.subject.other Phase retrieval
dc.subject.other Three dimensional imaging
dc.subject.other Wave propagation
dc.title Three-dimensional imaging from single-element holographic data
dc.type article
dc.subject.eciencia Óptica
dc.identifier.doi https://doi.org/10.1364/JOSAA.402396
dc.rights.accessRights embargoedAccess
dc.relation.projectID Gobierno de España. FIS2016-77892-R
dc.type.version acceptedVersion
dc.identifier.publicationfirstpage A1
dc.identifier.publicationissue 2
dc.identifier.publicationlastpage A6
dc.identifier.publicationtitle Journal of the Optical Society of America A
dc.identifier.publicationvolume 38
dc.identifier.uxxi AR/0000026685
carlosiii.embargo.liftdate 2022-02-01
carlosiii.embargo.terms 2022-02-01
dc.contributor.funder Ministerio de Economía y Competitividad (España)
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